Large Data Existence Result for Unsteady Flows of Inhomogeneous Shear-Thickening Heat-Conducting Incompressible Fluids

DOI10.1080/03605300903380746zbMath1213.35348OpenAlexW2051888475MaRDI QIDQ3066898

Jens Frehse, Josef Málek, Michael Ružička

Publication date: 20 January 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300903380746

zbMATH Keywords

weak solutionlarge datalong time existencetemperature dependent viscosityshear-rate dependent viscositygeneralized Navier-Stokes-Fourier systemheat-conducting, incompressible and inhomogeneous fluid

Mathematics Subject Classification ID

Related Items (15)

Unsteady flow of shear-thinning non-Newtonian incompressible fluid through a twin-screw extruder ⋮ On the steady viscous flow of a nonhomogeneous asymmetric fluid ⋮ On PDE analysis of flows of quasi-incompressible fluids ⋮ On unsteady internal flows of incompressible fluids characterized by implicit constitutive equations in the bulk and on the boundary ⋮ On the motion of several rigid bodies in an incompressible non-Newtonian and heat-conducting fluid ⋮ Analytical solutions to Stokes-type flows of inhomogeneous fluids ⋮ Global strong solutions to the 3D inhomogeneous heat-conducting incompressible fluids ⋮ Existence of weak solutions to the three-dimensional density-dependent generalized incompressible magnetohydrodynamic flows ⋮ Explicit estimates on a mixed Neumann--Robin--Cauchy problem ⋮ Unsteady flows of heat-conducting non-Newtonian fluids in Musielak–Orlicz spaces ⋮ Global strong solutions to the 3D incompressible heat-conducting magnetohydrodynamic flows ⋮ Regularity and energy conservation for the compressible Euler equations ⋮ Planar flows of incompressible heat-conducting shear-thinning fluids - existence analysis. ⋮ On the motion of shear-thinning heat-conducting incompressible fluid-rigid system ⋮ Global weak solutions to a class of non-Newtonian compressible fluids

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